SLAAEP3 December   2025 ULC1001

 

  1.   1
  2.   Abstract
  3.   Trademarks
  4. Acronyms
  5. Introduction
  6. Impedance Response
    1. 3.1 Piezo Only
    2. 3.2 Lens Cover
    3. 3.3 Lens Cover System (LCS)
  7. Equivalent Circuit Model of LCS
  8. LC Filter for LCS
  9. Water Cleaning
  10. Power Consumption
  11. Reliability
  12. Other Tests
    1. 9.1 De-ice
    2. 9.2 Mud Cleaning
    3. 9.3 Optical Interference
    4. 9.4 Waterproof Capability
  13. 10Resources

Equivalent Circuit Model of LCS

Understanding a piezoelectric device equivalent circuit is crucial for analyzing and designing systems because this simplifies the complex electromechanical interactions into a manageable electrical model, enabling prediction and optimization of performance. There are multiple models to simulate the behaviors of the piezo and here we provide an example. In the example, the LCS consists of a bulk resistor and a bulk capacitor, along with several LRC networks, all connected in series, as shown in Figure 4-1. Each RLC portion represents the mechanical properties, such as mass (L), compliance (C), and mechanical damping (R), while the serial bulk capacitor and resistor represent the electrical capacitance and resistance of the device electrodes.

 Equivalent Circuit Model of LCSFigure 4-1 Equivalent Circuit Model of LCS
Table 4-1 LCS Electrical Model Parameters
Parameters Unit Value Descriptions
R1 30 R component for 30kHz mode
R2 23 R component for 65kHz mode
R3 4 R component for 115kHz mode
R4 5 R component for 560kHz mode
R5 20e-3 Bulk resistance
C1 nF 31 C component for 30kHz mode
C2 nF 24 C component for 65kHz mode
C3 nF 100 C component for 115kHz mode
C4 nF 3 C component for 560kHz mode
C5 nF 51 Bulk capacitance
L1 uH 900 L component for 30kHz mode
L2 uH 233

L component for 65kHz mode

L3 uH 319 L component for 115kHz mode
L4 uH 21 L component for 560kHz mode

Figure 4-2 illustrates the impedance response comparing the lab data with simulation data from the model. The lab results align closely with the simulation model, given the passive component values used in the table.

 Impedance Response of LCS: Lab
                    versus Sim Figure 4-2 Impedance Response of LCS: Lab versus Sim